GCD of 382, 512, 148, 107 Calculator

Given Input numbers are 382, 512, 148, 107

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 382, 512, 148, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 512, 148, 107 is 1.

Therefore, GCD of numbers 382, 512, 148, 107 is 1

Given Input Data is 382, 512, 148, 107

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 382 is 2 x 191

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 107 is 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(382, 512) = 97792

GCD(382, 512) = ( 382 x 512 ) / 97792

GCD(382, 512) = 195584 / 97792

GCD(382, 512) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 148

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

GCD(2, 148) = 296 / 148

GCD(2, 148) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 107

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

GCD(2, 107) = 214 / 214

GCD(2, 107) = 1

GCD of 382, 512, 148, 107 is 1

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• GCD of 370, 485, 579, 573
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1. What is the GCD of 382, 512, 148, 107?

GCD of 382, 512, 148, 107 is 1

2. Where do I get the detailed procedure to find GCD of 382, 512, 148, 107?

You can find a detailed procedure to find GCD of 382, 512, 148, 107 on our page.

3. How to find GCD of 382, 512, 148, 107 on a calculator?

You can find the GCD of 382, 512, 148, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.